121222971272 has 108 divisors (see below), whose sum is σ = 261921721005. Its totient is φ = 52563403776.

The previous prime is 121222971271. The next prime is 121222971301. The reversal of 121222971272 is 272179222121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 36387088516 + 84835882756 = 190754^2 + 291266^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=246194.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121222971271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 217635218 + ... + 217635774.

Almost surely, 2^121222971272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121222971272

121222971272 is an abundant number, since it is smaller than the sum of its proper divisors (140698749733).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121222971272 is an equidigital number, since it uses as much as digits as its factorization.

121222971272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 589 counting only the distinct ones).

The product of its digits is 28224, while the sum is 38.

The spelling of 121222971272 in words is "one hundred twenty-one billion, two hundred twenty-two million, nine hundred seventy-one thousand, two hundred seventy-two".